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Finding the Fourth Proportional to 292.24, 403.10 and 198.96

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Solution

The fourth proportional to 292.24, 403.10 and 198.96 is: 274.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.24 : 403.10 = 198.96 : x
  2. Step 2: Convert to fraction form
    292.24/403.10 = 198.96/x
  3. Step 3: Cross multiply
    292.24x = 403.10 × 198.96
  4. Step 4: Simplify right side
    292.24x = 80,200.78
  5. Step 5: Solve for x
    x = 80,200.78/292.24
  6. Step 6: Final answer
    x = 274.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.